36 terms

Frequency Distribution

-A tabular summary of data showing the number of items in several classes

-A tabular summary of a set of data showing the frequency of items in each of several non-overlapping classes

-A tabular summary of a set of data showing the frequency of items in each of several non-overlapping classes

Relative frequency distribution

a tabular summary of a set of data showing the fraction of the total number or items in several classes

Bar Graph

A type of graph that qualitative data can be depicted on

Relative Frequency of a class

frequency of the class divided by the sample size

the number of elements in a data set

The sum of frequencies for all classes will always equal

Both a bar graph and a pie chart

15% of the students in a school of Business Administration are majoring in Economics, 20% in Finance, 35% in Management, and 30% in Accounting. The graphical device(s) which can be used to present these data is (are)

Qualitative Data-Nominal Variable (no rank order)

A researcher is gathering data from four geographical areas designated: South=1; North=2; East=3; West=4. The designated geographical regions represent

Cumulative Relative Frequency

the proportion of data items with values less than or equal to the upper limit of each class

Fewest

If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have the _______ classes

One

the sum of the relative frequency for all classes will always equal

100

the sum of the relative frequencies for all classes will always equal

Histogram

the most common graphical presentation of quantitative data

Histogram

What is a bar chart for qualitative data is (somehow) a ____ for quantitative data

(largest data value-smallest data value)/number of classes

In constructing a frequency distribution, the approximate class width is computed as

Increases

In constructing a frequency distribution, as the number of classes are decreased, the class width

Class Width

The difference between the lower class limits of adjacent classes provides

The total number of elements in the data set

In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to

One

In a cumulative relative frequency distribution, the last class will have a cumulative relative frequency equal to

100

In a cumulative percent frequency distribution, the last class will have a cumulative percent frequency equal to

Cross tabulation

A tabular method that can be used to summarize the data on two variables simultaneously

Scatter Plot

A graphical presentation of the relationship between two variables

Trend line

In a scatter plot, a line that provides an approximation of the relationship between the variables is known as

10

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The class width of this distribution..?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The class width of this distribution..?

100

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The number of students working 19 hours or less..?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The number of students working 19 hours or less..?

0.05

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The relative frequency of students working 9 hours or less..?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The relative frequency of students working 9 hours or less..?

20%

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The percentage of students working 19 hours or less is..?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The percentage of students working 19 hours or less is..?

0.75

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative relative frequency for the class of 20-29..?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative relative frequency for the class of 20-29..?

100%

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative percentage frequency for the class 30-39 is...?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative percentage frequency for the class 30-39 is...?

300

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative frequency for the class of 20-29 is...?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The cumulative frequency for the class of 20-29 is...?

400

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

If a cumulative frequency distribution is developed for the data, the last class will have a cumulative frequency of...?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

If a cumulative frequency distribution is developed for the data, the last class will have a cumulative frequency of...?

95%

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The percentage of students who work at least 10 hours per week is...?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The percentage of students who work at least 10 hours per week is...?

34.5

The number of hours worked (per week) by 400 statistics students are shown below

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The midpoint of the last class is...?

Number of hours Frequency

0-9 20

10-19 80

20-29 200

30-39 100

The midpoint of the last class is...?

65%

Undergraduate Major

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

What percentage of the students do not plan to go to graduate school?

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

What percentage of the students do not plan to go to graduate school?

36.5%

Undergraduate Major

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

What percentage of the students' undergraduate major is engineering?

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

What percentage of the students' undergraduate major is engineering?

27.78%

Undergraduate Major

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

Of those students who are majoring in business, what percentage plans to go to graduate school?

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

Of those students who are majoring in business, what percentage plans to go to graduate school?

45%

Undergraduate Major

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

Among the students who plan to go to graduate school, what percentage indicated "Other" majors?

G.S. Business Engineering Others Total

Yes 70 84 126 280

No 182 208 130 520

Total 252 292 256 800

Among the students who plan to go to graduate school, what percentage indicated "Other" majors?